A circular table is pushed into the corner of a room so that it touches
both walls. On the edge of the table is a scratch 8" from one wall and 9"
from the other wall. What is the diameter of the table?

A student seeks an even function that would represent a graph with a horizontal
asymptote and symmetry around the y-axis. Doctor Peterson suggests considering
functions of the form 1/f(x) — or graphing f(x) by finding 1/y for every x.